Dephasing enhanced transport in boundary-driven quasiperiodic chains
Abstract
We study dephasing-enhanced transport in boundary-driven quasi-periodic systems. Specifically we consider dephasing modelled by current preserving Lindblad dissipators acting on the non-interacting Aubry-Andr\'e-Harper (AAH) and Fibonacci bulk systems. The former is known to undergo a critical localization transition with a suppression of ballistic transport above a critical value of the potential. At the critical point, the presence of non-ergodic extended states yields anomalous sub-diffusion. The Fibonacci model, on the other hand, yields anomalous transport with a continuously varying exponent depending on the potential strength. By computing the covariance matrix in the non-equilibrium steady-state, we show that sufficiently strong dephasing always renders the transport diffusive. The interplay between dephasing and quasi-periodicity gives rise to a maximum of the diffusion coefficient for finite dephasing, which suggests the combination of quasi-periodic geometries and dephasing can be used to control noise-enhanced transport.
Keywords
Cite
@article{arxiv.2106.11406,
title = {Dephasing enhanced transport in boundary-driven quasiperiodic chains},
author = {Artur M. Lacerda and John Goold and Gabriel T. Landi},
journal= {arXiv preprint arXiv:2106.11406},
year = {2021}
}